Rather than Application manager, try tapping the center button on the bottom of the screen (the one that shows all apps, usually a circle with 6 dots or boxes in it), locate the app you want to have on your home screen, long-press it and then drag it to where you want it to be. This creates a shortcut there and leaves it in that full list so if you choose to remove it from the home screen you can and still have access to the app.